It is 9
..............................................................................................................................
Given:
There are given that the cos function:
Explanation:
To find the value, first, we need to use the half-angle formula:
So,
From the half-angle formula:
Then,
Since 105 degrees is the 2nd quadrant so cosine is negative
Then,
By the formula:
Then,
Put the value of cos210 degrees into the above function:
So,
Final answer:
Hence, the value of the cos(105) is shown below:
Answer:
50.24 ft^2
Step-by-step explanation:
The radius of the circle in which the lawn sprinkler sprays water is 4 feet.
The formula to find the area of a circle is 
, where r = radius and π, in this case, is 3.14.
- 3.14 × 4^2
- 3.14 × 16
- 50.24 ft^2
Therefore, the answer is 50.24 ft².
Answer:
1. x = 2, AC = 30, AB - 4
2. y = 4, AB = 34, BC = 34
Step-by-step explanation:
1. AB + BC = AC so 26 + (10 - 3x) = 14x +2 and then add 3x to both sides and subtract 2 from both sides to get x on one side and an integer on the other side which is 34 = 17x and then divide 17 from both sides to get x = 2 and then substitute x into the AC and AB equations to find the values its equal to.
2. The symbol in the given means that the two lengths are congruent which means they are equal to each other so you put the two equations equal to each other and solve for y. 9y -2 = 14 + 5y, so subtract 5y from both sides and add two to both sides to get 4y = 16 and then divide both sides by 4 to get y = 4 and then substitute in the answer to find the lengths of AB and BC.
Answer: See below
Step-by-step explanation:
<u>Area of the square</u> = l*w = 11*11 = 121
<u>Area of the circle</u> = pi r^2 = pi*1^2 = 3.142
<u>Part A</u>
P(hitting the circle) = 3.142 / 121 = 0.026 which is closer to 0.
<u>Part B</u>
P(hitting the outside portion) = 1 - 0.026 = 0.974 which is closer to 1.
